x2-4x+1=0,则x+1/x=?x2+1/x2=?

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/20 19:48:57
x2-4x+1=0,则x+1/x=?x2+1/x2=?x2-4x+1=0,则x+1/x=?x2+1/x2=?x2-4x+1=0,则x+1/x=?x2+1/x2=?x²-4x+1=0x&sup

x2-4x+1=0,则x+1/x=?x2+1/x2=?
x2-4x+1=0,则x+1/x=?x2+1/x2=?

x2-4x+1=0,则x+1/x=?x2+1/x2=?
x²-4x+1=0
x²+1=4x
两边除以x
x+1/x=4
x²+1=4x
两边平方
x^4+2x²+1=16x²
x^4+1=14x²
两边除以x²
x²+1/x²=14

x2-4x+1=0,
二边同除以x得:
x-4+1/x=0
则x+1/x=4
二边平方得:
x2+1/x2+2=16
x2+1/x2=14